GCD of 969, 432, 440, 300 Calculator

Given Input numbers are 969, 432, 440, 300

In the factoring method, we have to find the divisors of all numbers

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (969, 432, 440, 300) = 1.

Given numbers are 969, 432, 440, 300

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 969, 432, 440, 300

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(969, 432) = 139536

GCD(969, 432) = ( 969 x 432 ) / 139536

= 969 / 432

= 969

Step2:

LCM(3, 440) = 1320

GCD(3, 440) = ( 3 x 440 ) / 1320

= 3 / 440

= 3

Step3:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

So, Greatest Common Divisor of 969, 432, 440, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 129, 331, 315
• GCD of 173, 113, 880, 395
• GCD of 934, 266, 885, 589
• GCD of 333, 545, 318, 163
• GCD of 145, 613, 184, 187

Given numbers are 969, 432, 440, 300
The greatest common divisor of numbers 969, 432, 440, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 432, 440, 300 is 1.

1. What is the GCD of 969, 432, 440, 300?

GCD of given numbers 969, 432, 440, 300 is 1

2. How to calculate the greatest common divisor of 969, 432, 440, 300?

We can find the highest common divisor of 969, 432, 440, 300 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 969, 432, 440, 300 i.e 1.

3. How can I use the GCD of 969, 432, 440, 300Calculator?

Out the numbers 969, 432, 440, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.